A traffic flow model with overtaking as a Filippov system

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F13%3A10189370" target="_blank" >RIV/00216208:11320/13:10189370 - isvavai.cz</a>

Výsledek na webu

<a href="http://10.1016/j.cam.2013.03.033" target="_blank" >http://10.1016/j.cam.2013.03.033</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.cam.2013.03.033" target="_blank" >10.1016/j.cam.2013.03.033</a>

Jazyk výsledku

angličtina

Název v původním jazyce

A traffic flow model with overtaking as a Filippov system

Popis výsledku v původním jazyce

We investigate microscopic models of the road traffic. In particular, we consider the car-following model for a single-line traffic flow of N identical cars on a circular road. The classical differentiable model breaks down at the time instant when two cars collide. Nevertheless, the natural action of a driver would be to overtake the slower car. In our previous work, we proposed the model which simulates the overtaking. We observed a large variety of oscillatory solutions {oscillatory patterns) of themodel. In the present contribution, we formulate our model as a particular Filippov system i.e., ODEs with discontinuous righthand sides. Hence, we can identify our problem with a well defined solution class. We define oscillatory patterns as invariant objects of this Filippov system.

Název v anglickém jazyce

A traffic flow model with overtaking as a Filippov system

Popis výsledku anglicky

We investigate microscopic models of the road traffic. In particular, we consider the car-following model for a single-line traffic flow of N identical cars on a circular road. The classical differentiable model breaks down at the time instant when two cars collide. Nevertheless, the natural action of a driver would be to overtake the slower car. In our previous work, we proposed the model which simulates the overtaking. We observed a large variety of oscillatory solutions {oscillatory patterns) of themodel. In the present contribution, we formulate our model as a particular Filippov system i.e., ODEs with discontinuous righthand sides. Hence, we can identify our problem with a well defined solution class. We define oscillatory patterns as invariant objects of this Filippov system.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

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Návaznosti

Z - Vyzkumny zamer (s odkazem do CEZ)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2013

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Journal of Computational and Applied Mathematics

ISSN

0377-0427

e-ISSN

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Svazek periodika

2014

Číslo periodika v rámci svazku

2014//254

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

10

Strana od-do

55-64

Kód UT WoS článku

000320894600006

EID výsledku v databázi Scopus

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